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The problem of the classical deterministic dynamics of a particle in a periodic asymmetric potential of the ratchet type is addressed. When the inertial term is taken into account, the dynamics can be chaotic and modify the transport…

Condensed Matter · Physics 2007-05-23 José L. Mateos

We address the problem of the classical deterministic dynamics of a particle in a periodic asymmetric potential of the ratchet type. We take into account the inertial term in order to understand the role of the chaotic dynamics in the…

chao-dyn · Physics 2009-10-31 Jose L. Mateos

Current reversal is an intriguing phenomenon that has been central to recent experimental and theoretical investigations of transport based on ratchet mechanism. By considering a system of two interacting ratchets, we demonstrate how the…

Chaotic Dynamics · Physics 2015-05-14 U. E. Vincent , A. Kenfack , D. V. Senthilkumar , D. Mayer , J. Kürths

We uncover and characterize different chaotic transport scenarios on perfect periodic surfaces by controlling the chaotic dynamics of particles subjected to periodic external forces in the absence of a ratchet effect. After identifying…

Chaotic Dynamics · Physics 2010-03-26 R. Chacon , A. M. Lacasta

The rectification efficiency of an underdamped ratchet operated in the adiabatic regime increases according to a scaling current-amplitude curve as the damping constant approaches a critical threshold; below threshold the rectified signal…

Statistical Mechanics · Physics 2009-11-07 M. Borromeo , F. Marchesoni , G. Costantini

We study the control of transport properties in a deterministic inertia ratchet system via the extended delay feedback method. A chaotic current of a deterministic inertia ratchet system is controlled to a regular current by stabilizing…

Chaotic Dynamics · Physics 2007-05-23 Woo-Sik Son , Jung-Wan Ryu , Dong-Uk Hwang , Soo-Young Lee , Young-Jai Park , Chil-Min Kim

Ratchet dynamics of topological solitons of the forced and damped discrete double sine-Gordon system are studied. Directed transport occurring both in regular and in chaotic regions of the phase space and its dependence on damping,…

Pattern Formation and Solitons · Physics 2015-05-22 J. Cuevas , B. Sánchez-Rey , M. Salerno

Directed transport in ratchets is determined by symmetry-breaking in a system out of equilibrium. A hallmark of rocking ratchets is current reversals: an increase in the rocking force changes the direction of the current. In this work for a…

Statistical Mechanics · Physics 2015-05-19 D. Cubero , V. Lebedev , F. Renzoni

We present analytic results for the current in a system moving in an arbitrary periodic potential and driven by weak Gaussian noise with an arbitrary power spectrum which are valid to order (t_c/t_r)^2, where t_c is the largest…

Condensed Matter · Physics 2009-10-22 Mark M. Millonas , Mark I. Dykman

Feedback flashing ratchets are thermal rectifiers that use information on the state of the system to operate the switching on and off of a periodic potential. They can induce directed transport even with symmetric potentials thanks to the…

Statistical Mechanics · Physics 2008-05-27 M. Feito , F. J. Cao

We present a minimal one-dimensional deterministic continuous dynamical system that exhibits chaotic behavior and complex transport properties. Our model is an overdamped rocking ratchet that is periodically kicked with a delta function…

Statistical Mechanics · Physics 2015-03-11 Daniel G. Zarlenga , Hilda A. Larrondo , Miguel Arizmendi , Fereydoon Family

Recent advances in nonequilibrium statistical mechanics shed new light on the ratchet effect. The ratchet motion can thus be understood in terms of symmetry (breaking) considerations. We introduce an additional symmetry operation besides…

Statistical Mechanics · Physics 2015-05-14 Wojciech De Roeck , Christian Maes

We introduce and study a deterministic lattice model describing the motion of an infinite system of oppositely charged particles under the action of a constant electric field. As an application this model represents a traffic flow of cars…

Dynamical Systems · Mathematics 2009-11-13 Michael Blank

The transitory and stationary behavior of a quantum chaotic ratchet consisting of a biharmonic potential under the effect of different drivings in contact with a thermal environment is studied. For weak forcing and finite $\hbar$, we…

Quantum Physics · Physics 2013-01-31 Gabriel G. Carlo , Leonardo Ermann , F. Borondo , R. M. Benito

We present an experimental demonstration of a deterministic optical rocking ratchet. A periodic and asymmetric light pattern is created to interact with dielectric microparticles in water, giving rise to a ratchet potential. The sample is…

Soft Condensed Matter · Physics 2015-05-28 Alejandro V. Arzola , Karen Volke-Sepúlveda , José L. Mateos

We consider mechanisms of directed transport in a ratchet model comprising, besides the external freedom where transport occurs, a chemical freedom that replaces the familiar external driving by an autonomous dynamics providing energy…

Chemical Physics · Physics 2015-05-18 Thomas Dittrich , Nestor A. Naranjo

We study directed transport in a classical deterministic dissipative system. We consider the generic case of mixed phase space and show that large ratchet currents can be generated thanks to the presence, in the Hamiltonian limit, of…

Statistical Mechanics · Physics 2007-12-29 Lei Wang , Giuliano Benenti , Giulio Casati , Baowen Li

We investigate a dissipative, deterministic ratchet model in the overdamped regime driven by a {\it rectangular force}. Extensive numerical calculations are presented in a diagram depicting the drift velocity as a function of a wide range…

Statistical Mechanics · Physics 2008-07-09 David Cubero , Jesús Casado-Pascual , Azucena Alvarez , Manuel Morillo , Peter Hänggi

We have studied the deterministic dynamics of underdamped single and multiparticle ratchets associated with current reversal, as a function of the amplitude of the external driving force. Two experimentally inspired methods are used. In the…

Condensed Matter · Physics 2009-11-07 H. A. Larrondo , Fereydoon Family , C. M. Arizmendi

We study the noise-induced currents and reliability or coherence of transport in two different classes of rocking ratchets. For this, we consider the motion of Brownian particles in the over damped limit in both adiabatic and non-adiabatic…

Statistical Mechanics · Physics 2007-05-23 Soumen Roy , Debasis Dan , A. M. Jayannavar
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